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Questions- In each of the following situations, write the phrase as a mathematical expression. Combine like terms, if possible.
1. Bobby is 5 ½ years younger than his sister, Lucy. Paul, another brother, is 4 5/8 years older than Lucy. Use L for Lucy's age and represent the sum of their ages.
2. The Logo Bogo Band earned $475 to play at a party. The money was split evenly among the b members of the band. Write the algebraic expression that represents each member's earnings.
3. There are g players on the Gamecocks soccer team. The team scored a total of 42 goals this season. One of the players, Louis, scored one more goal than the average per player. How many goals did Louis score?
Consider a sequence of Bernoulli trials X1, X2, X3,..., when Xn =1 or 0. Assume Pr{Xn=1 l X1, X2, ..., X(n-1)} >= alpha > 0, n=1,2,... Prove that : a) Pr{Xn =1 for some n} = 1 b) Pr{Xn =1 infinitely often} =1
What is the average cost of equity funds (i.e. retained earnings and new equity) required for this round of financing?
What is the number in cell A3? Use mental math to find the sum of each row, column, and diagonal. What did you discover about all of the sums?
find the sum of the perimeters and the sum of the areas of all the squares, including the initial one.
Discuss a real-life situation where a straight-line graph might be applicable and explain why you think this might be true (show the equation).
What is the trial form for the particular solution of y''+9y=2sin(3x)-1? State the trial form only. you don't need to solve it.
Two fire towers are 30 km apart. tower A being due west of tower B. a fire is spotted from the towers and the bearings from A and B are East 14 degress north and west 34 north respectively. find the distance D of the fire from the line segment AB.
what is the present value of R1 000 to be received in 10 year's time assuming a discount rate of 12% per annum?
Find the regression coefficients.
I know the discounted value of the stock and I want to know what the value of the stock was before the discount. The stock was discounted 15%.
Write an equation that illustrates this situation. Use the same variables you used in Part a. c. Use elimination to determine how many houses are available in each floor plan. Explain how you arrived at your answer.
Probability: Birthdays on the Same Day, Determine the number of people needed to ensure that the probability at least two of them have the same day of the year as their birthday is at least 70 percent
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